Inspection des données

parent 8da7bb5c
...@@ -41,7 +41,9 @@ ...@@ -41,7 +41,9 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 1,
"metadata": {}, "metadata": {
"hideCode": true
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
...@@ -314,126 +316,47 @@ ...@@ -314,126 +316,47 @@
"metadata": {}, "metadata": {},
"source": [ "source": [
"## Inspection graphique des données\n", "## Inspection graphique des données\n",
"*Est-on certain de cette phrase ?* \n", "*Est-on certain de cette phrase ?* Je dirais plutôt de limiter à une valeur de pression unique. *Ne faut-il pas distinguer les cas de pression ? 50 psi, environ 3,4 atmosphère, 200 Psi 13,6 atm*"
"\n", ]
"\"Les vols où aucun incident n'est relevé n'apportant aucun information\n", },
"sur l'influence de la température ou de la pression sur les\n", {
"dysfonctionnements, nous nous concentrons sur les expériences où au\n", "cell_type": "markdown",
"moins un joint a été défectueux.\n" "metadata": {},
"source": [
"Nous cherchons ici à simplement visualiser le nombres d'erreurs sur les joints en fonction de le température, quelque soit la pression"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"data": { "data": {
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\n",
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Count</th>\n",
" <th>Temperature</th>\n",
" <th>Pressure</th>\n",
" <th>Malfunction</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>11/12/81</td>\n",
" <td>6</td>\n",
" <td>70</td>\n",
" <td>50</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>2/03/84</td>\n",
" <td>6</td>\n",
" <td>57</td>\n",
" <td>200</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>4/06/84</td>\n",
" <td>6</td>\n",
" <td>63</td>\n",
" <td>200</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>8/30/84</td>\n",
" <td>6</td>\n",
" <td>70</td>\n",
" <td>200</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>1/24/85</td>\n",
" <td>6</td>\n",
" <td>53</td>\n",
" <td>200</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>10/30/85</td>\n",
" <td>6</td>\n",
" <td>75</td>\n",
" <td>200</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>1/12/86</td>\n",
" <td>6</td>\n",
" <td>58</td>\n",
" <td>200</td>\n",
" <td>1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [ "text/plain": [
" Date Count Temperature Pressure Malfunction\n", "<Figure size 432x288 with 1 Axes>"
"1 11/12/81 6 70 50 1\n",
"8 2/03/84 6 57 200 1\n",
"9 4/06/84 6 63 200 1\n",
"10 8/30/84 6 70 200 1\n",
"13 1/24/85 6 53 200 2\n",
"20 10/30/85 6 75 200 2\n",
"22 1/12/86 6 58 200 1"
] ]
}, },
"execution_count": 2, "metadata": {
"metadata": {}, "needs_background": "light"
"output_type": "execute_result" },
"output_type": "display_data"
} }
], ],
"source": [ "source": [
"data = data[data.Malfunction>0]\n", "import matplotlib.pyplot as plt\n",
"data.plot(x=\"Temperature\",y=\"Malfunction\",kind=\"scatter\",ylim=[0,1])\n",
"plt.grid(True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"data = data[data.Pressure>100]\n",
"data" "data"
] ]
}, },
...@@ -441,11 +364,10 @@ ...@@ -441,11 +364,10 @@
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
"source": [ "source": [
"*Ne faut-il pas distinguer les cas de pression ? 50 psi, environ 3,4 atmosphère, 200 Psi 13,6 atm*\n",
"\n", "\n",
"Très bien, nous avons une variabilité de température importante mais\n", "Très bien, nous avons une variabilité de température importante mais\n",
"la pression est quasiment toujours égale à 200, ce qui devrait\n", "la pression est quasiment toujours égale à 200, ce qui devrait\n",
"simplifier l'analyse.\n", "simplifier l'analyse. *En quoi cela \"simplifie ?\"*\n",
"\n", "\n",
"Comment la fréquence d'échecs varie-t-elle avec la température ?\n" "Comment la fréquence d'échecs varie-t-elle avec la température ?\n"
] ]
...@@ -458,6 +380,7 @@ ...@@ -458,6 +380,7 @@
"source": [ "source": [
"%matplotlib inline\n", "%matplotlib inline\n",
"pd.set_option('mode.chained_assignment',None) # this removes a useless warning from pandas\n", "pd.set_option('mode.chained_assignment',None) # this removes a useless warning from pandas\n",
"\n",
"import matplotlib.pyplot as plt\n", "import matplotlib.pyplot as plt\n",
"\n", "\n",
"data[\"Frequency\"]=data.Malfunction/data.Count\n", "data[\"Frequency\"]=data.Malfunction/data.Count\n",
...@@ -509,8 +432,8 @@ ...@@ -509,8 +432,8 @@
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
"source": [ "source": [
"L'estimateur le plus probable du paramètre de température est 0.0014\n", "L'estimateur le plus probable du paramètre de température est -0.0990 \t\n",
"et l'erreur standard de cet estimateur est de 0.122, autrement dit on\n", "et l'erreur standard de cet estimateur est de 0.110, autrement dit on\n",
"ne peut pas distinguer d'impact particulier et il faut prendre nos\n", "ne peut pas distinguer d'impact particulier et il faut prendre nos\n",
"estimations avec des pincettes.\n" "estimations avec des pincettes.\n"
] ]
...@@ -547,10 +470,8 @@ ...@@ -547,10 +470,8 @@
"scrolled": true "scrolled": true
}, },
"source": [ "source": [
"Comme on pouvait s'attendre au vu des données initiales, la\n", "La température est susceptible d'avoir un impact notable sur la probabilité d'échec des\n",
"température n'a pas d'impact notable sur la probabilité d'échec des\n", "joints toriques. Elle serait d'environ 0.8 ! Revenons\n",
"joints toriques. Elle sera d'environ 0.2, comme dans les essais\n",
"précédents où nous il y a eu défaillance d'au moins un joint. Revenons\n",
"à l'ensemble des données initiales pour estimer la probabilité de\n", "à l'ensemble des données initiales pour estimer la probabilité de\n",
"défaillance d'un joint:\n" "défaillance d'un joint:\n"
] ]
......
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